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Finding the Third Proportional to 186,976 and 407,790

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Solution

The third proportional to 186,976 and 407,790 is: 889,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,976 : 407,790 = 407,790 : x
  2. Step 2: Convert to fraction form
    186,976/407,790 = 407,790/x
  3. Step 3: Cross multiply
    186,976x = 407,790 × 407,790
  4. Step 4: Simplify right side
    186,976x = 166,292,684,100
  5. Step 5: Solve for x
    x = 166,292,684,100/186,976
  6. Step 6: Final answer
    x = 889,379.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.